Two tug boats push on a barge in a bay with mass 61,014kg as seen in the picture below. If one barge pushes east with a force of F1 = 50,597N, one
pushes north with a force of F2 = 32,351N and the third pushes at an angle of
35 degrees above the horizontal with a force of 12,000N. Find the resulting
acceleration of the boat

Which object is most likely represented by a dot?

The law of the conservation of momentum says that the total momentum of any closed and isolated system cannot

Astudent throws a water balloon with speed v0 from a height h = 1.76 m at an angle θ = 21° above the horizontal toward a target on the ground. the target is located a horizontal distance d = 9.5 m from the student’s feet. assume that the balloon moves without air resistance. use a cartesian coordinate system with the origin at the balloon's initial position. (a) what is the position vector, rtarge t, that originates from the balloon's original position and terminates at the target? put this in terms of h and d, and represent it as a vector using i and j. (b) in terms of the variables in the problem, determine the time, t, after the launch it takes the balloon to reach the target. your answer should not include h. (c) create an expression for the balloon's vertical position as a function of time, y(t), in terms of t, vo, g, and θ. (d) determine the magnitude of the balloon's initial velocity, v0, in meters per second, by eliminating t from the previous two expressions.